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Finding the Third Proportional to 10,581 and 20,202

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Solution

The third proportional to 10,581 and 20,202 is: 38,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581 : 20,202 = 20,202 : x
  2. Step 2: Convert to fraction form
    10,581/20,202 = 20,202/x
  3. Step 3: Cross multiply
    10,581x = 20,202 × 20,202
  4. Step 4: Simplify right side
    10,581x = 408,120,804
  5. Step 5: Solve for x
    x = 408,120,804/10,581
  6. Step 6: Final answer
    x = 38,571.10

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.